If y = 3x + 1 is changed to y = 4x + 1, how would the graph of the new function compare with
the first one?
Answers
Answer:
The graph of the new function would be steeper than the first one.
Step-by-step explanation:
Slope-intercept formy= mx +c, where m is the gradient and c is the y-intercept. Note that in this form, the y term is the only term on the left-hand side of the equation and its coefficient is 1.
Identifying gradientsSince the two equations are in the slope-intercept form, we can easily identify their gradients from the coefficient of x.
The gradient of the first graph is 3, while that of the new function is 4.
Implications of a greater gradientThe gradient of a graph is how steep it is, or the change of y with respect to x. Also when we are given a linear graph without its equation, we can find its gradient using the formula:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
This formula can also be written as
[tex]\boxed{ slope = \frac{rise }{run} }[/tex]
These formulas imply that the gradient is the looking at how much the y- coordinate changes with respect to x. The term 'gradient' and 'slope' have the same meaning and is used interchangeably here.
Given that the new function has a greater slope, it has a greater change in y with respect to x than the first graph. Thus, we see a steeper graph when y= 3x +1 is changed to y= 4x +1.
y- interceptsThe y-intercept does not change in this case and both graphs intercept the y-axis at y= 1.
NoteIn the attached graph, the first graph is represented by the red line while the graph of the new function is in blue.
Related Questions
HELP ASAP
WORTH 10 POINTS
Answers
1.25 in decimal form
Answer:
0.15 InchesStep-by-step explanation:Ok so here AVERAGE HEIGHT OF BLUEBIRD = 4 1/4 INCHES WHICH IS 4.25 and the AVERAGE HEIGHT OF REDBIRD WHICH IS 4.4 Now we substract 4.4-4.25= 0.15PLEASE PLEASE HELP!!!! WILL GIVE BRAINLIEST!Which system of inequalities is represented by the graph?
Answers
Answer:
I'm sorry I don't have the answer but I'm sure someone will help you
Step-by-step explanation:
im really sorry
f(x) = 2/x, find f'(x)
Answers
Answer:
-2(x)^-2 OR -2/(x^2)
Step-by-step explanation:
2/x is also equal to 2(x)^-1
-1*2(x)^-1-1
-2(x)^-2 OR -2/(x^2)
Answer:
f(x)=2/x
Step-by-step explanation:
what is the gcf of 30/72
Answers
Answer:
There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.
Step-by-step explanation:
84/18=14/3
60/32=15/8
Roberto said, "I'm thinking of a fraction that is equivalent to
3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and the denominator in the bottom blank space.
MARKING BRAINLIEST
Answers
Answer:
As I answered in the other one the answer is 1/3
Step-by-step explanation:
The ticket manager for a minor league baseball
team awarded prizes by drawing four numbers
corresponding to the ticket stub numbers of four
fans in attendance.
In this situation, the sample consists of the
people selected to win a prize. The population
consists of the spectators who purchased
tickets to attend the game.
Answers
The sample and population of the given question are respectively; 4 people and all the spectators.
What is sample and population?
A population is defined as the entire group that you want to draw conclusions about. Meanwhile, a sample is the specific group that you will collect data from and as such the size of the sample is always less than the total size of the population.
In this question, we can see that the population is all the spectators while the sample are 4 people selected.
Read more about sample and population at; https://brainly.com/question/7301139
the measures if the angles of a triangle sre shown in the figure above. solve for x
Answers
Step-by-step explanation:
oh sorry I m busy
I am giving you a hint
sum of all angles in a triangle is 180 degrees use this hint to solve
have a nice day
Answer:
The value of x = 8
Step-by-step explanation:
The sum of angles of a triangle = 180°
=> 65° + 76° + 6x - 9 = 180°
=> 132° +6x = 180
=> 6x = 180 - 132
=> 6x = 48
=> x = 48/6
=> x = 8
and
(6x-9) = 6(8) -9 = 48-9 = 39
What is the formula for finding the nth term of a geometric sequence?
Answers
Step by step example use 2 key Numder divide it by a hole number max subtract the two remaining numbers
this qustion is from revel math i grade 8
Answers
B) 60 degrees
Answer:
m<2 = 120
m<1 = 60
Step-by-step explanation:
m < 10 + m<11 = m<2
180 - m<12 =
120
m<2 = 120
m<1 = 60
Brainliest Appreciated
PLEASE HELP!!
WILL GIVE BRAINLIEST
Answers
Answer:
12
Step-by-step explanation:
congruent sides
Answer:
12
Step-by-step explanation:
the oppisite side is 48 so being we have 36 we do 48-36 giving you 12 hope this helps :)
23. The dimensions of a rectangular prism are shown in the diagram.
10 in.
8 in.
16 in.
What is the total surface area in square inches of the prism?
Rosure to use the correct blare value
Answers
The solution is, 736 in^2 is the total surface area in square inches of the prism.
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
we know that
the total surface area of a prism is equal to
SA=2B+Ph
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Let
L=10 in
W=8 in
H=16 in
so
B=L*W
=80 in^2
P=2(L+W)
=36 in
H=16 in
therefore
SA=2(80) + 36 * 16
SA=736 in^2
Hence, The solution is, 736 in^2 is the total surface area in square inches of the prism.
learn more on surface area click :
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A student was asked to find the slope of the line through the points (4,8) and (-3,5). His answer, [tex]-\frac{3}{7}[/tex], was incorrect. He showed his work as [tex]\frac{5-8}{4-(-3)}[/tex]=[tex]-\frac{3}{7}[/tex]=[tex]-\frac{3}{7}[/tex].
What went wrong? Give the correct slope.
Answers
Answer:
[tex]m=\frac{-3}{-7}[/tex]
Step-by-step explanation:
Given the following question:
Point A = (4, 8) = (x1, y1)
Point B = (-3, 5) = (x2, y2)
In order to find the slope any two points given we use the formula to find slope or rise/run.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5-8}{-3-4} =\frac{-3}{-7}[/tex]
[tex]m=\frac{-3}{-7}[/tex]
The reason why the students answer is incorrect because he substituted incorrectly. More specifically the run part of the formula for slope. The formula for slope goes x2 - x1 which means it should be -3 - 4, not -4 - 3, which will give you the answer -7.
Hope this helps.
How do you write 11/25 as a percentage?
Answers
Answer:
44%
Step-by-step explanation:
11/25 =0.44
0.44 = 44/100 = 40%
11x4 =44
25x4=100
Answer:
Step-by-step explanation: Hi there.
25 is a multiple of 100, so it would be easier to get the fraction to x/100 first.
11*4=44
25*4= 100
We get 44/100, which is 0.44
If you move the decimal point two spaces and replace the decimal with a percent sign, you get your percentage: 0.44 -->44%
Have a nice day! :)
Select the functions that have identical graphs.
1.) y = sin(3x +pi/6)
2.) y = cos(3x - pi/6)
3.) y = cos(3x - pi/3)
Answers
Answer:
Answer C.
Step-by-step explanation:
1 and 3
Camille is working in craft class to create new pillows for her room. Each pillow will be made from exactly 36 in2 of material. Camille has drawn these shapes out to design a pattern for her pillow.
hurry help i dont have long in this class im in iss for breaking a pencil
Answers
The best design for Camille is the one in which the area matches the total of material she wants to use for each pillow.
What should Camille consider for her design?Camille's main restriction is the material per pillow since she needs every pillow to use only 36 inches of material. Due to this, she needs to make sure the design meets this requirement.
How to determine how much material each design requires?The best method for this is to calculate the area of the design by using the sides. Here are the most common formulas:
Triangular design: Base x height/ 2Squared or rectangular design: side x sideCircular design: A = π r²Based on this, the best design is the one that adjusts to the material available.
Note: This question is incomplete because there is no information about the designs; due to this, I answered it based on general knowledge.
Learn more about area in: https://brainly.com/question/16151549
Statistics when mode is best measure of central tendency.
Answers
Answer:
The mode is the least used of the measures of central tendency
Step-by-step explanation:
Divide. Give the quotient and remainder.
41•6
Answers
The answer is 6 with a remainder of 5.
pease answer my question 23 mins ago 40 points and brainly
Answers
Answer:
i will go look
Step-by-step explanation:
What are the answers to the yellow boxes?
Answers
[tex] \frac{ - 16}{ - 4 \times 1} = \frac{ - 16}{ - 4} [/tex]
Since, Both sides are equal we can eliminate one of them and then divide the given equation i.e.
[tex] - 16 \div - 4[/tex]
Now, When we divide (-) & (-) we get the answer in (+).. So, Our answer will be
[tex]4[/tex]
Final answer:-
= -16÷-4 = 4PLEASE HELP PLEASEEEE HELP
Answers
Answer:
Step-by-step explanation:
[tex]Rachel's \ share = \dfrac{2}{5}*600 \\\\\\[/tex]
= 2 * 120
= £240
Remaining amount after giving Rachel's share = 600 - 240 = £360
[tex]Samina's \ share = \dfrac{1}{4}*360[/tex]
= £90
Tom's share = 360 - 90 = £270
No, Tom's answer is wrong.
If they are sharing equally, 600 should be divide by 3.
600 ÷ 3 = £200 which less than £270.
A dog won a race at the local fair by running 13 1/4 miles in exactly hours. At this constant rate, how long does it take the same dog to run the 5 3/10-mile state fair race? Use ratio reasoning to solve.
Answers
that is really hard thinking
someone help me thank you
Answers
Step by step :
90-53= 37
X = 37
What is Y-x=4 x+y=6 system by substitution
Answers
Answer:
x=1 y=5
Step-by-step explanation:
y-x= 4
to find y
add x to both sides
y=4+x
x+y= 6
substitute y in
x+4+x=6
4+2x=6
subtract 4 from both sides
2x=2
x=1
substitute x=1
1+y=6
subtract 1 from both sides
y=5
A kitten was given to a child as a birthday present when she was two years old. The cat lived a good life, but eventually became old and passed away. If the sum of the ages totaled 30, how old was the cat when it died?
Answers
Answer: 14 years
Step-by-step explanation:
Let the cat's age when it died = x.
Therefore, the child's age is 2 + x because he/she got the cat when he/she was 2 years old.
We can set up an equation.
x + (2+x) = 30
2x + 2 = 30
2x = 28
Therefore, x = 14
Answer:
I would say 14
Step-by-step explanation:
Since the child was 2 years older from the start she would be 16 if the cat was 14. Adding them together makes it 30
Have an amazing day!
Please rate and mark brainliest!
:)
What's the value of the 7 in the number 53.75 give the answer as a fraction
Answers
Answer:
The value of 7 in the number 53.75 is 7/10 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Number -- 53.75
The following steps can be used in order to determine the value of 7 in the number 53.75:
Step 1 - Write the given number.
= 53.75
Step 2 - Determine the value of 7 in the above number that is:
= 0.7
Step 3 - Rewrite the value obtained above in the fraction formate.
= 7/10
So, the value of 7 in the number 53.75 is 7/10.
Somebody help me grid math is my hard for me.
Answers
Answer:
he needs 1/2 of a tablespoon of curry or 4/8
PLS ANSWER QUICK
Rewrite each square root using the imaginary unit i.
Square root -54
Answers
Answer: Square root -67
step explanation:
Solve the following equation:
5 x three fifths
A three twenty fifths
B two fifths
C 1
D 3
Answers
Answer:
D 3 wholes
Step-by-step explanation:
you don't multiply the fifths leave the fifths
you can do it the easy way 3/5 + 3/5 = 1 1/5
1 1/5 + 3/5 = 1 4/5 + 3/5 = 2 2/5 + 3/5 = 3 wholes
Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?
Answers
Answer:
t = 68.83 minutes
Step-by-step explanation:
68.83 minutes to decay to 32 grams
formula
ln means natural log
time = half life * ln (remaining quantity/initial quantity) ÷ -ln2
Rewrite using a single positive exponent.
6^5
6
Answers
Answer:
[tex]6^{4}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
note that 6 = [tex]6^{1}[/tex] , then
[tex]\frac{6^{5} }{6}[/tex] = [tex]6^{(5-1)}[/tex] = [tex]6^{4}[/tex]
